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Finding the Fourth Proportional to 225.18, 310.76 and 130.66

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Solution

The fourth proportional to 225.18, 310.76 and 130.66 is: 180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.18 : 310.76 = 130.66 : x
  2. Step 2: Convert to fraction form
    225.18/310.76 = 130.66/x
  3. Step 3: Cross multiply
    225.18x = 310.76 × 130.66
  4. Step 4: Simplify right side
    225.18x = 40,603.90
  5. Step 5: Solve for x
    x = 40,603.90/225.18
  6. Step 6: Final answer
    x = 180.32

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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.