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Finding the Fourth Proportional to 314.29, 470.42 and 256.01

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Solution

The fourth proportional to 314.29, 470.42 and 256.01 is: 383.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.29 : 470.42 = 256.01 : x
  2. Step 2: Convert to fraction form
    314.29/470.42 = 256.01/x
  3. Step 3: Cross multiply
    314.29x = 470.42 × 256.01
  4. Step 4: Simplify right side
    314.29x = 120,430.94
  5. Step 5: Solve for x
    x = 120,430.94/314.29
  6. Step 6: Final answer
    x = 383.19

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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.