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Finding the Fourth Proportional to 307.08, 458.70 and 278.16

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Solution

The fourth proportional to 307.08, 458.70 and 278.16 is: 415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.08 : 458.70 = 278.16 : x
  2. Step 2: Convert to fraction form
    307.08/458.70 = 278.16/x
  3. Step 3: Cross multiply
    307.08x = 458.70 × 278.16
  4. Step 4: Simplify right side
    307.08x = 127,591.99
  5. Step 5: Solve for x
    x = 127,591.99/307.08
  6. Step 6: Final answer
    x = 415.50

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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.