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Finding the Fourth Proportional to 152.61, 228.11 and 148.96

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Solution

The fourth proportional to 152.61, 228.11 and 148.96 is: 222.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.61 : 228.11 = 148.96 : x
  2. Step 2: Convert to fraction form
    152.61/228.11 = 148.96/x
  3. Step 3: Cross multiply
    152.61x = 228.11 × 148.96
  4. Step 4: Simplify right side
    152.61x = 33,978.52
  5. Step 5: Solve for x
    x = 33,978.52/152.61
  6. Step 6: Final answer
    x = 222.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.