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Finding the Fourth Proportional to 438.04, 653.98 and 334.78

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Solution

The fourth proportional to 438.04, 653.98 and 334.78 is: 499.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.04 : 653.98 = 334.78 : x
  2. Step 2: Convert to fraction form
    438.04/653.98 = 334.78/x
  3. Step 3: Cross multiply
    438.04x = 653.98 × 334.78
  4. Step 4: Simplify right side
    438.04x = 218,937.75
  5. Step 5: Solve for x
    x = 218,937.75/438.04
  6. Step 6: Final answer
    x = 499.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.