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Finding the Fourth Proportional to 538.55, 808.28 and 356.07

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Solution

The fourth proportional to 538.55, 808.28 and 356.07 is: 534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.55 : 808.28 = 356.07 : x
  2. Step 2: Convert to fraction form
    538.55/808.28 = 356.07/x
  3. Step 3: Cross multiply
    538.55x = 808.28 × 356.07
  4. Step 4: Simplify right side
    538.55x = 287,804.57
  5. Step 5: Solve for x
    x = 287,804.57/538.55
  6. Step 6: Final answer
    x = 534.41

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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.