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Finding the Fourth Proportional to 390.86, 586.51 and 147.37

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Solution

The fourth proportional to 390.86, 586.51 and 147.37 is: 221.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.86 : 586.51 = 147.37 : x
  2. Step 2: Convert to fraction form
    390.86/586.51 = 147.37/x
  3. Step 3: Cross multiply
    390.86x = 586.51 × 147.37
  4. Step 4: Simplify right side
    390.86x = 86,433.24
  5. Step 5: Solve for x
    x = 86,433.24/390.86
  6. Step 6: Final answer
    x = 221.14

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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.