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Finding the Fourth Proportional to 438.84, 657.47 and 232.94

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Solution

The fourth proportional to 438.84, 657.47 and 232.94 is: 348.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.84 : 657.47 = 232.94 : x
  2. Step 2: Convert to fraction form
    438.84/657.47 = 232.94/x
  3. Step 3: Cross multiply
    438.84x = 657.47 × 232.94
  4. Step 4: Simplify right side
    438.84x = 153,146.61
  5. Step 5: Solve for x
    x = 153,146.61/438.84
  6. Step 6: Final answer
    x = 348.98

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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.