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Finding the Fourth Proportional to 293.58, 438.68 and 253.14

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Solution

The fourth proportional to 293.58, 438.68 and 253.14 is: 378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.58 : 438.68 = 253.14 : x
  2. Step 2: Convert to fraction form
    293.58/438.68 = 253.14/x
  3. Step 3: Cross multiply
    293.58x = 438.68 × 253.14
  4. Step 4: Simplify right side
    293.58x = 111,046.19
  5. Step 5: Solve for x
    x = 111,046.19/293.58
  6. Step 6: Final answer
    x = 378.25

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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.