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Finding the Fourth Proportional to 340.13, 468.79 and 266.29

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Solution

The fourth proportional to 340.13, 468.79 and 266.29 is: 367.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.13 : 468.79 = 266.29 : x
  2. Step 2: Convert to fraction form
    340.13/468.79 = 266.29/x
  3. Step 3: Cross multiply
    340.13x = 468.79 × 266.29
  4. Step 4: Simplify right side
    340.13x = 124,832.25
  5. Step 5: Solve for x
    x = 124,832.25/340.13
  6. Step 6: Final answer
    x = 367.01

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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.