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Finding the Fourth Proportional to 438.83, 657.19 and 283.90

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Solution

The fourth proportional to 438.83, 657.19 and 283.90 is: 425.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.83 : 657.19 = 283.90 : x
  2. Step 2: Convert to fraction form
    438.83/657.19 = 283.90/x
  3. Step 3: Cross multiply
    438.83x = 657.19 × 283.90
  4. Step 4: Simplify right side
    438.83x = 186,578.79
  5. Step 5: Solve for x
    x = 186,578.79/438.83
  6. Step 6: Final answer
    x = 425.17

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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.