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Finding the Fourth Proportional to 535.95, 804.16 and 228.01

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Solution

The fourth proportional to 535.95, 804.16 and 228.01 is: 342.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.95 : 804.16 = 228.01 : x
  2. Step 2: Convert to fraction form
    535.95/804.16 = 228.01/x
  3. Step 3: Cross multiply
    535.95x = 804.16 × 228.01
  4. Step 4: Simplify right side
    535.95x = 183,356.52
  5. Step 5: Solve for x
    x = 183,356.52/535.95
  6. Step 6: Final answer
    x = 342.11

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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.