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Finding the Fourth Proportional to 291.40, 437.67 and 256.77

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Solution

The fourth proportional to 291.40, 437.67 and 256.77 is: 385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.40 : 437.67 = 256.77 : x
  2. Step 2: Convert to fraction form
    291.40/437.67 = 256.77/x
  3. Step 3: Cross multiply
    291.40x = 437.67 × 256.77
  4. Step 4: Simplify right side
    291.40x = 112,380.53
  5. Step 5: Solve for x
    x = 112,380.53/291.40
  6. Step 6: Final answer
    x = 385.66

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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.