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Finding the Fourth Proportional to 291.17, 437.01 and 260.27

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Solution

The fourth proportional to 291.17, 437.01 and 260.27 is: 390.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.17 : 437.01 = 260.27 : x
  2. Step 2: Convert to fraction form
    291.17/437.01 = 260.27/x
  3. Step 3: Cross multiply
    291.17x = 437.01 × 260.27
  4. Step 4: Simplify right side
    291.17x = 113,737.11
  5. Step 5: Solve for x
    x = 113,737.11/291.17
  6. Step 6: Final answer
    x = 390.63

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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.