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Finding the Fourth Proportional to 307.76, 458.94 and 261.32

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Solution

The fourth proportional to 307.76, 458.94 and 261.32 is: 389.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.76 : 458.94 = 261.32 : x
  2. Step 2: Convert to fraction form
    307.76/458.94 = 261.32/x
  3. Step 3: Cross multiply
    307.76x = 458.94 × 261.32
  4. Step 4: Simplify right side
    307.76x = 119,928.89
  5. Step 5: Solve for x
    x = 119,928.89/307.76
  6. Step 6: Final answer
    x = 389.68

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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.