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Finding the Fourth Proportional to 382.95, 530.71 and 375.66

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Solution

The fourth proportional to 382.95, 530.71 and 375.66 is: 520.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.95 : 530.71 = 375.66 : x
  2. Step 2: Convert to fraction form
    382.95/530.71 = 375.66/x
  3. Step 3: Cross multiply
    382.95x = 530.71 × 375.66
  4. Step 4: Simplify right side
    382.95x = 199,365.58
  5. Step 5: Solve for x
    x = 199,365.58/382.95
  6. Step 6: Final answer
    x = 520.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.