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Finding the Fourth Proportional to 315.80, 473.12 and 264.77

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Solution

The fourth proportional to 315.80, 473.12 and 264.77 is: 396.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.80 : 473.12 = 264.77 : x
  2. Step 2: Convert to fraction form
    315.80/473.12 = 264.77/x
  3. Step 3: Cross multiply
    315.80x = 473.12 × 264.77
  4. Step 4: Simplify right side
    315.80x = 125,266.66
  5. Step 5: Solve for x
    x = 125,266.66/315.80
  6. Step 6: Final answer
    x = 396.66

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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.