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Finding the Fourth Proportional to 293.95, 440.76 and 147.40

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Solution

The fourth proportional to 293.95, 440.76 and 147.40 is: 221.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.95 : 440.76 = 147.40 : x
  2. Step 2: Convert to fraction form
    293.95/440.76 = 147.40/x
  3. Step 3: Cross multiply
    293.95x = 440.76 × 147.40
  4. Step 4: Simplify right side
    293.95x = 64,968.02
  5. Step 5: Solve for x
    x = 64,968.02/293.95
  6. Step 6: Final answer
    x = 221.02

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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.