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Finding the Fourth Proportional to 307.13, 458.54 and 261.50

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Solution

The fourth proportional to 307.13, 458.54 and 261.50 is: 390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.13 : 458.54 = 261.50 : x
  2. Step 2: Convert to fraction form
    307.13/458.54 = 261.50/x
  3. Step 3: Cross multiply
    307.13x = 458.54 × 261.50
  4. Step 4: Simplify right side
    307.13x = 119,905.59
  5. Step 5: Solve for x
    x = 119,905.59/307.13
  6. Step 6: Final answer
    x = 390.41

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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.