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Finding the Fourth Proportional to 348.10, 520.02 and 266.09

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Solution

The fourth proportional to 348.10, 520.02 and 266.09 is: 397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.10 : 520.02 = 266.09 : x
  2. Step 2: Convert to fraction form
    348.10/520.02 = 266.09/x
  3. Step 3: Cross multiply
    348.10x = 520.02 × 266.09
  4. Step 4: Simplify right side
    348.10x = 138,369.52
  5. Step 5: Solve for x
    x = 138,369.52/348.10
  6. Step 6: Final answer
    x = 397.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.