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Finding the Fourth Proportional to 343.50, 512.58 and 307.08

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Solution

The fourth proportional to 343.50, 512.58 and 307.08 is: 458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.50 : 512.58 = 307.08 : x
  2. Step 2: Convert to fraction form
    343.50/512.58 = 307.08/x
  3. Step 3: Cross multiply
    343.50x = 512.58 × 307.08
  4. Step 4: Simplify right side
    343.50x = 157,403.07
  5. Step 5: Solve for x
    x = 157,403.07/343.50
  6. Step 6: Final answer
    x = 458.23

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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.