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Finding the Fourth Proportional to 152.23, 228.19 and 60.89

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Solution

The fourth proportional to 152.23, 228.19 and 60.89 is: 91.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.23 : 228.19 = 60.89 : x
  2. Step 2: Convert to fraction form
    152.23/228.19 = 60.89/x
  3. Step 3: Cross multiply
    152.23x = 228.19 × 60.89
  4. Step 4: Simplify right side
    152.23x = 13,894.18
  5. Step 5: Solve for x
    x = 13,894.18/152.23
  6. Step 6: Final answer
    x = 91.27

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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.