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Finding the Fourth Proportional to 292.13, 438.13 and 275.21

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Solution

The fourth proportional to 292.13, 438.13 and 275.21 is: 412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.13 : 438.13 = 275.21 : x
  2. Step 2: Convert to fraction form
    292.13/438.13 = 275.21/x
  3. Step 3: Cross multiply
    292.13x = 438.13 × 275.21
  4. Step 4: Simplify right side
    292.13x = 120,577.76
  5. Step 5: Solve for x
    x = 120,577.76/292.13
  6. Step 6: Final answer
    x = 412.75

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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.