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Finding the Fourth Proportional to 421.49, 580.71 and 316.42

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Solution

The fourth proportional to 421.49, 580.71 and 316.42 is: 435.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.49 : 580.71 = 316.42 : x
  2. Step 2: Convert to fraction form
    421.49/580.71 = 316.42/x
  3. Step 3: Cross multiply
    421.49x = 580.71 × 316.42
  4. Step 4: Simplify right side
    421.49x = 183,746.81
  5. Step 5: Solve for x
    x = 183,746.81/421.49
  6. Step 6: Final answer
    x = 435.94

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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.