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Finding the Fourth Proportional to 383.98, 572.51 and 377.90

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Solution

The fourth proportional to 383.98, 572.51 and 377.90 is: 563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.98 : 572.51 = 377.90 : x
  2. Step 2: Convert to fraction form
    383.98/572.51 = 377.90/x
  3. Step 3: Cross multiply
    383.98x = 572.51 × 377.90
  4. Step 4: Simplify right side
    383.98x = 216,351.53
  5. Step 5: Solve for x
    x = 216,351.53/383.98
  6. Step 6: Final answer
    x = 563.45

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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.