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Finding the Fourth Proportional to 160.48, 240.45 and 91.77

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Solution

The fourth proportional to 160.48, 240.45 and 91.77 is: 137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.48 : 240.45 = 91.77 : x
  2. Step 2: Convert to fraction form
    160.48/240.45 = 91.77/x
  3. Step 3: Cross multiply
    160.48x = 240.45 × 91.77
  4. Step 4: Simplify right side
    160.48x = 22,066.10
  5. Step 5: Solve for x
    x = 22,066.10/160.48
  6. Step 6: Final answer
    x = 137.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.