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Finding the Fourth Proportional to 414.69, 572.06 and 316.28

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Solution

The fourth proportional to 414.69, 572.06 and 316.28 is: 436.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.69 : 572.06 = 316.28 : x
  2. Step 2: Convert to fraction form
    414.69/572.06 = 316.28/x
  3. Step 3: Cross multiply
    414.69x = 572.06 × 316.28
  4. Step 4: Simplify right side
    414.69x = 180,926.70
  5. Step 5: Solve for x
    x = 180,926.70/414.69
  6. Step 6: Final answer
    x = 436.29

Related Problems

Find fourth proportional to 207.35, 286.03 and 158.14
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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.