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Finding the Fourth Proportional to 94.58, 130.45 and 55.77

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Solution

The fourth proportional to 94.58, 130.45 and 55.77 is: 76.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.58 : 130.45 = 55.77 : x
  2. Step 2: Convert to fraction form
    94.58/130.45 = 55.77/x
  3. Step 3: Cross multiply
    94.58x = 130.45 × 55.77
  4. Step 4: Simplify right side
    94.58x = 7,275.06
  5. Step 5: Solve for x
    x = 7,275.06/94.58
  6. Step 6: Final answer
    x = 76.92

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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.