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Finding the Fourth Proportional to 293.45, 440.23 and 88.00

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Solution

The fourth proportional to 293.45, 440.23 and 88.00 is: 132.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.45 : 440.23 = 88.00 : x
  2. Step 2: Convert to fraction form
    293.45/440.23 = 88.00/x
  3. Step 3: Cross multiply
    293.45x = 440.23 × 88.00
  4. Step 4: Simplify right side
    293.45x = 38,739.08
  5. Step 5: Solve for x
    x = 38,739.08/293.45
  6. Step 6: Final answer
    x = 132.01

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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.