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Finding the Fourth Proportional to 292.01, 438.05 and 75.59

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Solution

The fourth proportional to 292.01, 438.05 and 75.59 is: 113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.01 : 438.05 = 75.59 : x
  2. Step 2: Convert to fraction form
    292.01/438.05 = 75.59/x
  3. Step 3: Cross multiply
    292.01x = 438.05 × 75.59
  4. Step 4: Simplify right side
    292.01x = 33,111.82
  5. Step 5: Solve for x
    x = 33,111.82/292.01
  6. Step 6: Final answer
    x = 113.39

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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.