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Finding the Fourth Proportional to 910.02, 1,365.05 and 260.80

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Solution

The fourth proportional to 910.02, 1,365.05 and 260.80 is: 391.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.02 : 1,365.05 = 260.80 : x
  2. Step 2: Convert to fraction form
    910.02/1,365.05 = 260.80/x
  3. Step 3: Cross multiply
    910.02x = 1,365.05 × 260.80
  4. Step 4: Simplify right side
    910.02x = 356,005.04
  5. Step 5: Solve for x
    x = 356,005.04/910.02
  6. Step 6: Final answer
    x = 391.21

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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.