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Finding the Fourth Proportional to 307.75, 458.69 and 290.45

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Solution

The fourth proportional to 307.75, 458.69 and 290.45 is: 432.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.75 : 458.69 = 290.45 : x
  2. Step 2: Convert to fraction form
    307.75/458.69 = 290.45/x
  3. Step 3: Cross multiply
    307.75x = 458.69 × 290.45
  4. Step 4: Simplify right side
    307.75x = 133,226.51
  5. Step 5: Solve for x
    x = 133,226.51/307.75
  6. Step 6: Final answer
    x = 432.90

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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.