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Finding the Fourth Proportional to 159.52, 238.28 and 146.08

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Solution

The fourth proportional to 159.52, 238.28 and 146.08 is: 218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.52 : 238.28 = 146.08 : x
  2. Step 2: Convert to fraction form
    159.52/238.28 = 146.08/x
  3. Step 3: Cross multiply
    159.52x = 238.28 × 146.08
  4. Step 4: Simplify right side
    159.52x = 34,807.94
  5. Step 5: Solve for x
    x = 34,807.94/159.52
  6. Step 6: Final answer
    x = 218.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.