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Finding the Fourth Proportional to 316.44, 473.40 and 262.80

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Solution

The fourth proportional to 316.44, 473.40 and 262.80 is: 393.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.44 : 473.40 = 262.80 : x
  2. Step 2: Convert to fraction form
    316.44/473.40 = 262.80/x
  3. Step 3: Cross multiply
    316.44x = 473.40 × 262.80
  4. Step 4: Simplify right side
    316.44x = 124,409.52
  5. Step 5: Solve for x
    x = 124,409.52/316.44
  6. Step 6: Final answer
    x = 393.15

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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.