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Finding the Fourth Proportional to 307.34, 459.38 and 266.66

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Solution

The fourth proportional to 307.34, 459.38 and 266.66 is: 398.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.34 : 459.38 = 266.66 : x
  2. Step 2: Convert to fraction form
    307.34/459.38 = 266.66/x
  3. Step 3: Cross multiply
    307.34x = 459.38 × 266.66
  4. Step 4: Simplify right side
    307.34x = 122,494.64
  5. Step 5: Solve for x
    x = 122,494.64/307.34
  6. Step 6: Final answer
    x = 398.57

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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.