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Finding the Fourth Proportional to 407.14, 562.06 and 313.68

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Solution

The fourth proportional to 407.14, 562.06 and 313.68 is: 433.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.14 : 562.06 = 313.68 : x
  2. Step 2: Convert to fraction form
    407.14/562.06 = 313.68/x
  3. Step 3: Cross multiply
    407.14x = 562.06 × 313.68
  4. Step 4: Simplify right side
    407.14x = 176,306.41
  5. Step 5: Solve for x
    x = 176,306.41/407.14
  6. Step 6: Final answer
    x = 433.04

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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.