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Finding the Fourth Proportional to 176.15, 242.96 and 102.40

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Solution

The fourth proportional to 176.15, 242.96 and 102.40 is: 141.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.15 : 242.96 = 102.40 : x
  2. Step 2: Convert to fraction form
    176.15/242.96 = 102.40/x
  3. Step 3: Cross multiply
    176.15x = 242.96 × 102.40
  4. Step 4: Simplify right side
    176.15x = 24,877.98
  5. Step 5: Solve for x
    x = 24,877.98/176.15
  6. Step 6: Final answer
    x = 141.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.