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Finding the Fourth Proportional to 534.99, 802.41 and 145.02

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Solution

The fourth proportional to 534.99, 802.41 and 145.02 is: 217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.99 : 802.41 = 145.02 : x
  2. Step 2: Convert to fraction form
    534.99/802.41 = 145.02/x
  3. Step 3: Cross multiply
    534.99x = 802.41 × 145.02
  4. Step 4: Simplify right side
    534.99x = 116,365.50
  5. Step 5: Solve for x
    x = 116,365.50/534.99
  6. Step 6: Final answer
    x = 217.51

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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.