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Finding the Fourth Proportional to 292.58, 438.46 and 148.13

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Solution

The fourth proportional to 292.58, 438.46 and 148.13 is: 221.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.58 : 438.46 = 148.13 : x
  2. Step 2: Convert to fraction form
    292.58/438.46 = 148.13/x
  3. Step 3: Cross multiply
    292.58x = 438.46 × 148.13
  4. Step 4: Simplify right side
    292.58x = 64,949.08
  5. Step 5: Solve for x
    x = 64,949.08/292.58
  6. Step 6: Final answer
    x = 221.99

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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.