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Finding the Fourth Proportional to 242.47, 365.12 and 174.47

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Solution

The fourth proportional to 242.47, 365.12 and 174.47 is: 262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.47 : 365.12 = 174.47 : x
  2. Step 2: Convert to fraction form
    242.47/365.12 = 174.47/x
  3. Step 3: Cross multiply
    242.47x = 365.12 × 174.47
  4. Step 4: Simplify right side
    242.47x = 63,701.10
  5. Step 5: Solve for x
    x = 63,701.10/242.47
  6. Step 6: Final answer
    x = 262.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.