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Finding the Fourth Proportional to 309.34, 466.34 and 266.35

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Solution

The fourth proportional to 309.34, 466.34 and 266.35 is: 401.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.34 : 466.34 = 266.35 : x
  2. Step 2: Convert to fraction form
    309.34/466.34 = 266.35/x
  3. Step 3: Cross multiply
    309.34x = 466.34 × 266.35
  4. Step 4: Simplify right side
    309.34x = 124,209.66
  5. Step 5: Solve for x
    x = 124,209.66/309.34
  6. Step 6: Final answer
    x = 401.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.