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Finding the Fourth Proportional to 458.76, 633.20 and 309.40

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Solution

The fourth proportional to 458.76, 633.20 and 309.40 is: 427.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.76 : 633.20 = 309.40 : x
  2. Step 2: Convert to fraction form
    458.76/633.20 = 309.40/x
  3. Step 3: Cross multiply
    458.76x = 633.20 × 309.40
  4. Step 4: Simplify right side
    458.76x = 195,912.08
  5. Step 5: Solve for x
    x = 195,912.08/458.76
  6. Step 6: Final answer
    x = 427.05

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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.