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Finding the Fourth Proportional to 535.16, 802.44 and 260.66

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Solution

The fourth proportional to 535.16, 802.44 and 260.66 is: 390.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.16 : 802.44 = 260.66 : x
  2. Step 2: Convert to fraction form
    535.16/802.44 = 260.66/x
  3. Step 3: Cross multiply
    535.16x = 802.44 × 260.66
  4. Step 4: Simplify right side
    535.16x = 209,164.01
  5. Step 5: Solve for x
    x = 209,164.01/535.16
  6. Step 6: Final answer
    x = 390.84

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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.