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Finding the Fourth Proportional to 363.61, 543.10 and 315.01

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Solution

The fourth proportional to 363.61, 543.10 and 315.01 is: 470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.61 : 543.10 = 315.01 : x
  2. Step 2: Convert to fraction form
    363.61/543.10 = 315.01/x
  3. Step 3: Cross multiply
    363.61x = 543.10 × 315.01
  4. Step 4: Simplify right side
    363.61x = 171,081.14
  5. Step 5: Solve for x
    x = 171,081.14/363.61
  6. Step 6: Final answer
    x = 470.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.