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Finding the Fourth Proportional to 293.56, 438.05 and 291.85

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Solution

The fourth proportional to 293.56, 438.05 and 291.85 is: 435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.56 : 438.05 = 291.85 : x
  2. Step 2: Convert to fraction form
    293.56/438.05 = 291.85/x
  3. Step 3: Cross multiply
    293.56x = 438.05 × 291.85
  4. Step 4: Simplify right side
    293.56x = 127,844.94
  5. Step 5: Solve for x
    x = 127,844.94/293.56
  6. Step 6: Final answer
    x = 435.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.