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Finding the Fourth Proportional to 431.19, 595.15 and 256.50

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Solution

The fourth proportional to 431.19, 595.15 and 256.50 is: 354.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.19 : 595.15 = 256.50 : x
  2. Step 2: Convert to fraction form
    431.19/595.15 = 256.50/x
  3. Step 3: Cross multiply
    431.19x = 595.15 × 256.50
  4. Step 4: Simplify right side
    431.19x = 152,655.33
  5. Step 5: Solve for x
    x = 152,655.33/431.19
  6. Step 6: Final answer
    x = 354.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.