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Finding the Fourth Proportional to 152.14, 228.33 and 60.86

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Solution

The fourth proportional to 152.14, 228.33 and 60.86 is: 91.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.14 : 228.33 = 60.86 : x
  2. Step 2: Convert to fraction form
    152.14/228.33 = 60.86/x
  3. Step 3: Cross multiply
    152.14x = 228.33 × 60.86
  4. Step 4: Simplify right side
    152.14x = 13,896.16
  5. Step 5: Solve for x
    x = 13,896.16/152.14
  6. Step 6: Final answer
    x = 91.34

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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.