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Finding the Fourth Proportional to 508.56, 701.88 and 301.56

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Solution

The fourth proportional to 508.56, 701.88 and 301.56 is: 416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.56 : 701.88 = 301.56 : x
  2. Step 2: Convert to fraction form
    508.56/701.88 = 301.56/x
  3. Step 3: Cross multiply
    508.56x = 701.88 × 301.56
  4. Step 4: Simplify right side
    508.56x = 211,658.93
  5. Step 5: Solve for x
    x = 211,658.93/508.56
  6. Step 6: Final answer
    x = 416.19

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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.