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Finding the Fourth Proportional to 524.40, 721.80 and 368.88

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Solution

The fourth proportional to 524.40, 721.80 and 368.88 is: 507.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.40 : 721.80 = 368.88 : x
  2. Step 2: Convert to fraction form
    524.40/721.80 = 368.88/x
  3. Step 3: Cross multiply
    524.40x = 721.80 × 368.88
  4. Step 4: Simplify right side
    524.40x = 266,257.58
  5. Step 5: Solve for x
    x = 266,257.58/524.40
  6. Step 6: Final answer
    x = 507.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.