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Finding the Fourth Proportional to 377.49, 566.13 and 256.50

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Solution

The fourth proportional to 377.49, 566.13 and 256.50 is: 384.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.49 : 566.13 = 256.50 : x
  2. Step 2: Convert to fraction form
    377.49/566.13 = 256.50/x
  3. Step 3: Cross multiply
    377.49x = 566.13 × 256.50
  4. Step 4: Simplify right side
    377.49x = 145,212.35
  5. Step 5: Solve for x
    x = 145,212.35/377.49
  6. Step 6: Final answer
    x = 384.68

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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.