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Finding the Fourth Proportional to 314.46, 473.53 and 276.36

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Solution

The fourth proportional to 314.46, 473.53 and 276.36 is: 416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.46 : 473.53 = 276.36 : x
  2. Step 2: Convert to fraction form
    314.46/473.53 = 276.36/x
  3. Step 3: Cross multiply
    314.46x = 473.53 × 276.36
  4. Step 4: Simplify right side
    314.46x = 130,864.75
  5. Step 5: Solve for x
    x = 130,864.75/314.46
  6. Step 6: Final answer
    x = 416.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.