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Finding the Fourth Proportional to 534.13, 802.06 and 330.00

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Solution

The fourth proportional to 534.13, 802.06 and 330.00 is: 495.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.13 : 802.06 = 330.00 : x
  2. Step 2: Convert to fraction form
    534.13/802.06 = 330.00/x
  3. Step 3: Cross multiply
    534.13x = 802.06 × 330.00
  4. Step 4: Simplify right side
    534.13x = 264,675.79
  5. Step 5: Solve for x
    x = 264,675.79/534.13
  6. Step 6: Final answer
    x = 495.53

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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.