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Finding the Fourth Proportional to 152.81, 229.17 and 95.07

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Solution

The fourth proportional to 152.81, 229.17 and 95.07 is: 142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.81 : 229.17 = 95.07 : x
  2. Step 2: Convert to fraction form
    152.81/229.17 = 95.07/x
  3. Step 3: Cross multiply
    152.81x = 229.17 × 95.07
  4. Step 4: Simplify right side
    152.81x = 21,787.19
  5. Step 5: Solve for x
    x = 21,787.19/152.81
  6. Step 6: Final answer
    x = 142.58

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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.