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Finding the Fourth Proportional to 159.48, 238.05 and 146.66

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Solution

The fourth proportional to 159.48, 238.05 and 146.66 is: 218.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.48 : 238.05 = 146.66 : x
  2. Step 2: Convert to fraction form
    159.48/238.05 = 146.66/x
  3. Step 3: Cross multiply
    159.48x = 238.05 × 146.66
  4. Step 4: Simplify right side
    159.48x = 34,911.22
  5. Step 5: Solve for x
    x = 34,911.22/159.48
  6. Step 6: Final answer
    x = 218.91

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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.