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Finding the Fourth Proportional to 433.08, 596.88 and 315

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Solution

The fourth proportional to 433.08, 596.88 and 315 is: 434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.08 : 596.88 = 315 : x
  2. Step 2: Convert to fraction form
    433.08/596.88 = 315/x
  3. Step 3: Cross multiply
    433.08x = 596.88 × 315
  4. Step 4: Simplify right side
    433.08x = 188,017.20
  5. Step 5: Solve for x
    x = 188,017.20/433.08
  6. Step 6: Final answer
    x = 434.14

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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.