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Finding the Fourth Proportional to 473.59, 710.54 and 242.54

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Solution

The fourth proportional to 473.59, 710.54 and 242.54 is: 363.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.59 : 710.54 = 242.54 : x
  2. Step 2: Convert to fraction form
    473.59/710.54 = 242.54/x
  3. Step 3: Cross multiply
    473.59x = 710.54 × 242.54
  4. Step 4: Simplify right side
    473.59x = 172,334.37
  5. Step 5: Solve for x
    x = 172,334.37/473.59
  6. Step 6: Final answer
    x = 363.89

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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.