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Finding the Fourth Proportional to 326.51, 492.17 and 307.70

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Solution

The fourth proportional to 326.51, 492.17 and 307.70 is: 463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.51 : 492.17 = 307.70 : x
  2. Step 2: Convert to fraction form
    326.51/492.17 = 307.70/x
  3. Step 3: Cross multiply
    326.51x = 492.17 × 307.70
  4. Step 4: Simplify right side
    326.51x = 151,436.71
  5. Step 5: Solve for x
    x = 151,436.71/326.51
  6. Step 6: Final answer
    x = 463.80

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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.