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Finding the Fourth Proportional to 152.74, 210.24 and 138.16

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Solution

The fourth proportional to 152.74, 210.24 and 138.16 is: 190.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.74 : 210.24 = 138.16 : x
  2. Step 2: Convert to fraction form
    152.74/210.24 = 138.16/x
  3. Step 3: Cross multiply
    152.74x = 210.24 × 138.16
  4. Step 4: Simplify right side
    152.74x = 29,046.76
  5. Step 5: Solve for x
    x = 29,046.76/152.74
  6. Step 6: Final answer
    x = 190.17

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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.