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Finding the Fourth Proportional to 307.36, 458.79 and 264.30

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Solution

The fourth proportional to 307.36, 458.79 and 264.30 is: 394.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.36 : 458.79 = 264.30 : x
  2. Step 2: Convert to fraction form
    307.36/458.79 = 264.30/x
  3. Step 3: Cross multiply
    307.36x = 458.79 × 264.30
  4. Step 4: Simplify right side
    307.36x = 121,258.20
  5. Step 5: Solve for x
    x = 121,258.20/307.36
  6. Step 6: Final answer
    x = 394.52

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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.