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Finding the Fourth Proportional to 334.89, 503.28 and 313.02

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Solution

The fourth proportional to 334.89, 503.28 and 313.02 is: 470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.89 : 503.28 = 313.02 : x
  2. Step 2: Convert to fraction form
    334.89/503.28 = 313.02/x
  3. Step 3: Cross multiply
    334.89x = 503.28 × 313.02
  4. Step 4: Simplify right side
    334.89x = 157,536.71
  5. Step 5: Solve for x
    x = 157,536.71/334.89
  6. Step 6: Final answer
    x = 470.41

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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.