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Finding the Fourth Proportional to 334.53, 501.37 and 313.77

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Solution

The fourth proportional to 334.53, 501.37 and 313.77 is: 470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.53 : 501.37 = 313.77 : x
  2. Step 2: Convert to fraction form
    334.53/501.37 = 313.77/x
  3. Step 3: Cross multiply
    334.53x = 501.37 × 313.77
  4. Step 4: Simplify right side
    334.53x = 157,313.30
  5. Step 5: Solve for x
    x = 157,313.30/334.53
  6. Step 6: Final answer
    x = 470.25

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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.