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Finding the Fourth Proportional to 291.40, 438.86 and 275.20

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Solution

The fourth proportional to 291.40, 438.86 and 275.20 is: 414.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.40 : 438.86 = 275.20 : x
  2. Step 2: Convert to fraction form
    291.40/438.86 = 275.20/x
  3. Step 3: Cross multiply
    291.40x = 438.86 × 275.20
  4. Step 4: Simplify right side
    291.40x = 120,774.27
  5. Step 5: Solve for x
    x = 120,774.27/291.40
  6. Step 6: Final answer
    x = 414.46

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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.