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Finding the Fourth Proportional to 160.59, 241.13 and 130.35

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Solution

The fourth proportional to 160.59, 241.13 and 130.35 is: 195.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.59 : 241.13 = 130.35 : x
  2. Step 2: Convert to fraction form
    160.59/241.13 = 130.35/x
  3. Step 3: Cross multiply
    160.59x = 241.13 × 130.35
  4. Step 4: Simplify right side
    160.59x = 31,430.64
  5. Step 5: Solve for x
    x = 31,430.64/160.59
  6. Step 6: Final answer
    x = 195.72

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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.