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Finding the Fourth Proportional to 470.40, 704.16 and 253.68

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Solution

The fourth proportional to 470.40, 704.16 and 253.68 is: 379.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.40 : 704.16 = 253.68 : x
  2. Step 2: Convert to fraction form
    470.40/704.16 = 253.68/x
  3. Step 3: Cross multiply
    470.40x = 704.16 × 253.68
  4. Step 4: Simplify right side
    470.40x = 178,631.31
  5. Step 5: Solve for x
    x = 178,631.31/470.40
  6. Step 6: Final answer
    x = 379.74

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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.