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Finding the Fourth Proportional to 409.19, 614.03 and 152.87

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Solution

The fourth proportional to 409.19, 614.03 and 152.87 is: 229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.19 : 614.03 = 152.87 : x
  2. Step 2: Convert to fraction form
    409.19/614.03 = 152.87/x
  3. Step 3: Cross multiply
    409.19x = 614.03 × 152.87
  4. Step 4: Simplify right side
    409.19x = 93,866.77
  5. Step 5: Solve for x
    x = 93,866.77/409.19
  6. Step 6: Final answer
    x = 229.40

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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.