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Finding the Fourth Proportional to 130.90, 180.60 and 91.51

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Solution

The fourth proportional to 130.90, 180.60 and 91.51 is: 126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.90 : 180.60 = 91.51 : x
  2. Step 2: Convert to fraction form
    130.90/180.60 = 91.51/x
  3. Step 3: Cross multiply
    130.90x = 180.60 × 91.51
  4. Step 4: Simplify right side
    130.90x = 16,526.71
  5. Step 5: Solve for x
    x = 16,526.71/130.90
  6. Step 6: Final answer
    x = 126.25

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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.