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Finding the Fourth Proportional to 534.89, 802.59 and 278.39

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Solution

The fourth proportional to 534.89, 802.59 and 278.39 is: 417.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.89 : 802.59 = 278.39 : x
  2. Step 2: Convert to fraction form
    534.89/802.59 = 278.39/x
  3. Step 3: Cross multiply
    534.89x = 802.59 × 278.39
  4. Step 4: Simplify right side
    534.89x = 223,433.03
  5. Step 5: Solve for x
    x = 223,433.03/534.89
  6. Step 6: Final answer
    x = 417.72

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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.