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Finding the Fourth Proportional to 293.83, 440.59 and 156.99

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Solution

The fourth proportional to 293.83, 440.59 and 156.99 is: 235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.83 : 440.59 = 156.99 : x
  2. Step 2: Convert to fraction form
    293.83/440.59 = 156.99/x
  3. Step 3: Cross multiply
    293.83x = 440.59 × 156.99
  4. Step 4: Simplify right side
    293.83x = 69,167.30
  5. Step 5: Solve for x
    x = 69,167.30/293.83
  6. Step 6: Final answer
    x = 235.40

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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.