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Finding the Fourth Proportional to 291.12, 438.16 and 275.44

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Solution

The fourth proportional to 291.12, 438.16 and 275.44 is: 414.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.12 : 438.16 = 275.44 : x
  2. Step 2: Convert to fraction form
    291.12/438.16 = 275.44/x
  3. Step 3: Cross multiply
    291.12x = 438.16 × 275.44
  4. Step 4: Simplify right side
    291.12x = 120,686.79
  5. Step 5: Solve for x
    x = 120,686.79/291.12
  6. Step 6: Final answer
    x = 414.56

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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.