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Finding the Fourth Proportional to 160.85, 240.04 and 138.98

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Solution

The fourth proportional to 160.85, 240.04 and 138.98 is: 207.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.85 : 240.04 = 138.98 : x
  2. Step 2: Convert to fraction form
    160.85/240.04 = 138.98/x
  3. Step 3: Cross multiply
    160.85x = 240.04 × 138.98
  4. Step 4: Simplify right side
    160.85x = 33,360.76
  5. Step 5: Solve for x
    x = 33,360.76/160.85
  6. Step 6: Final answer
    x = 207.40

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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.