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Finding the Fourth Proportional to 374.56, 560.67 and 242.61

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Solution

The fourth proportional to 374.56, 560.67 and 242.61 is: 363.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.56 : 560.67 = 242.61 : x
  2. Step 2: Convert to fraction form
    374.56/560.67 = 242.61/x
  3. Step 3: Cross multiply
    374.56x = 560.67 × 242.61
  4. Step 4: Simplify right side
    374.56x = 136,024.15
  5. Step 5: Solve for x
    x = 136,024.15/374.56
  6. Step 6: Final answer
    x = 363.16

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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.