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Finding the Fourth Proportional to 307.90, 463.52 and 236.08

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Solution

The fourth proportional to 307.90, 463.52 and 236.08 is: 355.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.90 : 463.52 = 236.08 : x
  2. Step 2: Convert to fraction form
    307.90/463.52 = 236.08/x
  3. Step 3: Cross multiply
    307.90x = 463.52 × 236.08
  4. Step 4: Simplify right side
    307.90x = 109,427.80
  5. Step 5: Solve for x
    x = 109,427.80/307.90
  6. Step 6: Final answer
    x = 355.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.