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Finding the Fourth Proportional to 438.30, 656.15 and 283.77

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Solution

The fourth proportional to 438.30, 656.15 and 283.77 is: 424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.30 : 656.15 = 283.77 : x
  2. Step 2: Convert to fraction form
    438.30/656.15 = 283.77/x
  3. Step 3: Cross multiply
    438.30x = 656.15 × 283.77
  4. Step 4: Simplify right side
    438.30x = 186,194.27
  5. Step 5: Solve for x
    x = 186,194.27/438.30
  6. Step 6: Final answer
    x = 424.81

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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.