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Finding the Fourth Proportional to 474.60, 710.76 and 242.88

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Solution

The fourth proportional to 474.60, 710.76 and 242.88 is: 363.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.60 : 710.76 = 242.88 : x
  2. Step 2: Convert to fraction form
    474.60/710.76 = 242.88/x
  3. Step 3: Cross multiply
    474.60x = 710.76 × 242.88
  4. Step 4: Simplify right side
    474.60x = 172,629.39
  5. Step 5: Solve for x
    x = 172,629.39/474.60
  6. Step 6: Final answer
    x = 363.74

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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.