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Finding the Fourth Proportional to 292.32, 438.84 and 207.36

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Solution

The fourth proportional to 292.32, 438.84 and 207.36 is: 311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.32 : 438.84 = 207.36 : x
  2. Step 2: Convert to fraction form
    292.32/438.84 = 207.36/x
  3. Step 3: Cross multiply
    292.32x = 438.84 × 207.36
  4. Step 4: Simplify right side
    292.32x = 90,997.86
  5. Step 5: Solve for x
    x = 90,997.86/292.32
  6. Step 6: Final answer
    x = 311.30

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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.