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Finding the Fourth Proportional to 535.61, 803.55 and 189.02

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Solution

The fourth proportional to 535.61, 803.55 and 189.02 is: 283.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.61 : 803.55 = 189.02 : x
  2. Step 2: Convert to fraction form
    535.61/803.55 = 189.02/x
  3. Step 3: Cross multiply
    535.61x = 803.55 × 189.02
  4. Step 4: Simplify right side
    535.61x = 151,887.02
  5. Step 5: Solve for x
    x = 151,887.02/535.61
  6. Step 6: Final answer
    x = 283.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.