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Finding the Fourth Proportional to 152.16, 229.47 and 140.93

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Solution

The fourth proportional to 152.16, 229.47 and 140.93 is: 212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.16 : 229.47 = 140.93 : x
  2. Step 2: Convert to fraction form
    152.16/229.47 = 140.93/x
  3. Step 3: Cross multiply
    152.16x = 229.47 × 140.93
  4. Step 4: Simplify right side
    152.16x = 32,338.06
  5. Step 5: Solve for x
    x = 32,338.06/152.16
  6. Step 6: Final answer
    x = 212.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.