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Finding the Fourth Proportional to 362.62, 542.64 and 314.04

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Solution

The fourth proportional to 362.62, 542.64 and 314.04 is: 469.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.62 : 542.64 = 314.04 : x
  2. Step 2: Convert to fraction form
    362.62/542.64 = 314.04/x
  3. Step 3: Cross multiply
    362.62x = 542.64 × 314.04
  4. Step 4: Simplify right side
    362.62x = 170,409.10
  5. Step 5: Solve for x
    x = 170,409.10/362.62
  6. Step 6: Final answer
    x = 469.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.