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Finding the Fourth Proportional to 242.57, 363.86 and 78.07

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Solution

The fourth proportional to 242.57, 363.86 and 78.07 is: 117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.57 : 363.86 = 78.07 : x
  2. Step 2: Convert to fraction form
    242.57/363.86 = 78.07/x
  3. Step 3: Cross multiply
    242.57x = 363.86 × 78.07
  4. Step 4: Simplify right side
    242.57x = 28,406.55
  5. Step 5: Solve for x
    x = 28,406.55/242.57
  6. Step 6: Final answer
    x = 117.11

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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.