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Finding the Fourth Proportional to 130.55, 179.95 and 109.89

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Solution

The fourth proportional to 130.55, 179.95 and 109.89 is: 151.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.55 : 179.95 = 109.89 : x
  2. Step 2: Convert to fraction form
    130.55/179.95 = 109.89/x
  3. Step 3: Cross multiply
    130.55x = 179.95 × 109.89
  4. Step 4: Simplify right side
    130.55x = 19,774.71
  5. Step 5: Solve for x
    x = 19,774.71/130.55
  6. Step 6: Final answer
    x = 151.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.