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Finding the Fourth Proportional to 242.76, 362.66 and 155.40

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Solution

The fourth proportional to 242.76, 362.66 and 155.40 is: 232.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.76 : 362.66 = 155.40 : x
  2. Step 2: Convert to fraction form
    242.76/362.66 = 155.40/x
  3. Step 3: Cross multiply
    242.76x = 362.66 × 155.40
  4. Step 4: Simplify right side
    242.76x = 56,357.36
  5. Step 5: Solve for x
    x = 56,357.36/242.76
  6. Step 6: Final answer
    x = 232.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.