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Finding the Fourth Proportional to 537.56, 805.76 and 355.08

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Solution

The fourth proportional to 537.56, 805.76 and 355.08 is: 532.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.56 : 805.76 = 355.08 : x
  2. Step 2: Convert to fraction form
    537.56/805.76 = 355.08/x
  3. Step 3: Cross multiply
    537.56x = 805.76 × 355.08
  4. Step 4: Simplify right side
    537.56x = 286,109.26
  5. Step 5: Solve for x
    x = 286,109.26/537.56
  6. Step 6: Final answer
    x = 532.24

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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.