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Finding the Fourth Proportional to 292.21, 438.37 and 97.19

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Solution

The fourth proportional to 292.21, 438.37 and 97.19 is: 145.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.21 : 438.37 = 97.19 : x
  2. Step 2: Convert to fraction form
    292.21/438.37 = 97.19/x
  3. Step 3: Cross multiply
    292.21x = 438.37 × 97.19
  4. Step 4: Simplify right side
    292.21x = 42,605.42
  5. Step 5: Solve for x
    x = 42,605.42/292.21
  6. Step 6: Final answer
    x = 145.81

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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.