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Finding the Fourth Proportional to 307.51, 458.63 and 279.97

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Solution

The fourth proportional to 307.51, 458.63 and 279.97 is: 417.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.51 : 458.63 = 279.97 : x
  2. Step 2: Convert to fraction form
    307.51/458.63 = 279.97/x
  3. Step 3: Cross multiply
    307.51x = 458.63 × 279.97
  4. Step 4: Simplify right side
    307.51x = 128,402.64
  5. Step 5: Solve for x
    x = 128,402.64/307.51
  6. Step 6: Final answer
    x = 417.56

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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.