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Finding the Fourth Proportional to 390.80, 538.76 and 335.12

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Solution

The fourth proportional to 390.80, 538.76 and 335.12 is: 462.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.80 : 538.76 = 335.12 : x
  2. Step 2: Convert to fraction form
    390.80/538.76 = 335.12/x
  3. Step 3: Cross multiply
    390.80x = 538.76 × 335.12
  4. Step 4: Simplify right side
    390.80x = 180,549.25
  5. Step 5: Solve for x
    x = 180,549.25/390.80
  6. Step 6: Final answer
    x = 462.00

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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.