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Finding the Fourth Proportional to 160.61, 239.54 and 146.94

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Solution

The fourth proportional to 160.61, 239.54 and 146.94 is: 219.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.61 : 239.54 = 146.94 : x
  2. Step 2: Convert to fraction form
    160.61/239.54 = 146.94/x
  3. Step 3: Cross multiply
    160.61x = 239.54 × 146.94
  4. Step 4: Simplify right side
    160.61x = 35,197.82
  5. Step 5: Solve for x
    x = 35,197.82/160.61
  6. Step 6: Final answer
    x = 219.16

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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.