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Finding the Fourth Proportional to 340.08, 468.90 and 266.10

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Solution

The fourth proportional to 340.08, 468.90 and 266.10 is: 366.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.08 : 468.90 = 266.10 : x
  2. Step 2: Convert to fraction form
    340.08/468.90 = 266.10/x
  3. Step 3: Cross multiply
    340.08x = 468.90 × 266.10
  4. Step 4: Simplify right side
    340.08x = 124,774.29
  5. Step 5: Solve for x
    x = 124,774.29/340.08
  6. Step 6: Final answer
    x = 366.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.