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Finding the Fourth Proportional to 291.10, 438.61 and 240.87

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Solution

The fourth proportional to 291.10, 438.61 and 240.87 is: 362.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.10 : 438.61 = 240.87 : x
  2. Step 2: Convert to fraction form
    291.10/438.61 = 240.87/x
  3. Step 3: Cross multiply
    291.10x = 438.61 × 240.87
  4. Step 4: Simplify right side
    291.10x = 105,647.99
  5. Step 5: Solve for x
    x = 105,647.99/291.10
  6. Step 6: Final answer
    x = 362.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.