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Finding the Fourth Proportional to 438.06, 655.74 and 307.92

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Solution

The fourth proportional to 438.06, 655.74 and 307.92 is: 460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.06 : 655.74 = 307.92 : x
  2. Step 2: Convert to fraction form
    438.06/655.74 = 307.92/x
  3. Step 3: Cross multiply
    438.06x = 655.74 × 307.92
  4. Step 4: Simplify right side
    438.06x = 201,915.46
  5. Step 5: Solve for x
    x = 201,915.46/438.06
  6. Step 6: Final answer
    x = 460.93

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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.