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Finding the Fourth Proportional to 152.43, 228.57 and 87.41

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Solution

The fourth proportional to 152.43, 228.57 and 87.41 is: 131.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.43 : 228.57 = 87.41 : x
  2. Step 2: Convert to fraction form
    152.43/228.57 = 87.41/x
  3. Step 3: Cross multiply
    152.43x = 228.57 × 87.41
  4. Step 4: Simplify right side
    152.43x = 19,980.28
  5. Step 5: Solve for x
    x = 19,980.28/152.43
  6. Step 6: Final answer
    x = 131.08

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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.