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Finding the Fourth Proportional to 438.60, 658.37 and 390.16

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Solution

The fourth proportional to 438.60, 658.37 and 390.16 is: 585.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.60 : 658.37 = 390.16 : x
  2. Step 2: Convert to fraction form
    438.60/658.37 = 390.16/x
  3. Step 3: Cross multiply
    438.60x = 658.37 × 390.16
  4. Step 4: Simplify right side
    438.60x = 256,868.24
  5. Step 5: Solve for x
    x = 256,868.24/438.60
  6. Step 6: Final answer
    x = 585.66

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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.