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Finding the Fourth Proportional to 535.08, 802.26 and 260.94

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Solution

The fourth proportional to 535.08, 802.26 and 260.94 is: 391.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.08 : 802.26 = 260.94 : x
  2. Step 2: Convert to fraction form
    535.08/802.26 = 260.94/x
  3. Step 3: Cross multiply
    535.08x = 802.26 × 260.94
  4. Step 4: Simplify right side
    535.08x = 209,341.72
  5. Step 5: Solve for x
    x = 209,341.72/535.08
  6. Step 6: Final answer
    x = 391.23

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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.