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Finding the Fourth Proportional to 535.22, 802.28 and 291.68

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Solution

The fourth proportional to 535.22, 802.28 and 291.68 is: 437.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.22 : 802.28 = 291.68 : x
  2. Step 2: Convert to fraction form
    535.22/802.28 = 291.68/x
  3. Step 3: Cross multiply
    535.22x = 802.28 × 291.68
  4. Step 4: Simplify right side
    535.22x = 234,009.03
  5. Step 5: Solve for x
    x = 234,009.03/535.22
  6. Step 6: Final answer
    x = 437.22

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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.