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Finding the Fourth Proportional to 158.47, 217.10 and 152.55

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Solution

The fourth proportional to 158.47, 217.10 and 152.55 is: 208.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.47 : 217.10 = 152.55 : x
  2. Step 2: Convert to fraction form
    158.47/217.10 = 152.55/x
  3. Step 3: Cross multiply
    158.47x = 217.10 × 152.55
  4. Step 4: Simplify right side
    158.47x = 33,117.36
  5. Step 5: Solve for x
    x = 33,117.36/158.47
  6. Step 6: Final answer
    x = 208.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.