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Finding the Fourth Proportional to 152.30, 228.45 and 91.49

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Solution

The fourth proportional to 152.30, 228.45 and 91.49 is: 137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.30 : 228.45 = 91.49 : x
  2. Step 2: Convert to fraction form
    152.30/228.45 = 91.49/x
  3. Step 3: Cross multiply
    152.30x = 228.45 × 91.49
  4. Step 4: Simplify right side
    152.30x = 20,899.75
  5. Step 5: Solve for x
    x = 20,899.75/152.30
  6. Step 6: Final answer
    x = 137.23

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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.