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Finding the Fourth Proportional to 293.10, 438.84 and 256.65

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Solution

The fourth proportional to 293.10, 438.84 and 256.65 is: 384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.10 : 438.84 = 256.65 : x
  2. Step 2: Convert to fraction form
    293.10/438.84 = 256.65/x
  3. Step 3: Cross multiply
    293.10x = 438.84 × 256.65
  4. Step 4: Simplify right side
    293.10x = 112,628.29
  5. Step 5: Solve for x
    x = 112,628.29/293.10
  6. Step 6: Final answer
    x = 384.27

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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.