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Finding the Fourth Proportional to 534.54, 802.05 and 188.01

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Solution

The fourth proportional to 534.54, 802.05 and 188.01 is: 282.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.54 : 802.05 = 188.01 : x
  2. Step 2: Convert to fraction form
    534.54/802.05 = 188.01/x
  3. Step 3: Cross multiply
    534.54x = 802.05 × 188.01
  4. Step 4: Simplify right side
    534.54x = 150,793.42
  5. Step 5: Solve for x
    x = 150,793.42/534.54
  6. Step 6: Final answer
    x = 282.10

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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.