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Finding the Fourth Proportional to 458.29, 631.90 and 334.00

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Solution

The fourth proportional to 458.29, 631.90 and 334.00 is: 460.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.29 : 631.90 = 334.00 : x
  2. Step 2: Convert to fraction form
    458.29/631.90 = 334.00/x
  3. Step 3: Cross multiply
    458.29x = 631.90 × 334.00
  4. Step 4: Simplify right side
    458.29x = 211,055.81
  5. Step 5: Solve for x
    x = 211,055.81/458.29
  6. Step 6: Final answer
    x = 460.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.