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Finding the Fourth Proportional to 152.16, 229.16 and 138.40

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Solution

The fourth proportional to 152.16, 229.16 and 138.40 is: 208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.16 : 229.16 = 138.40 : x
  2. Step 2: Convert to fraction form
    152.16/229.16 = 138.40/x
  3. Step 3: Cross multiply
    152.16x = 229.16 × 138.40
  4. Step 4: Simplify right side
    152.16x = 31,715.74
  5. Step 5: Solve for x
    x = 31,715.74/152.16
  6. Step 6: Final answer
    x = 208.44

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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.