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Finding the Fourth Proportional to 364.71, 547.17 and 202.51

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Solution

The fourth proportional to 364.71, 547.17 and 202.51 is: 303.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.71 : 547.17 = 202.51 : x
  2. Step 2: Convert to fraction form
    364.71/547.17 = 202.51/x
  3. Step 3: Cross multiply
    364.71x = 547.17 × 202.51
  4. Step 4: Simplify right side
    364.71x = 110,808.46
  5. Step 5: Solve for x
    x = 110,808.46/364.71
  6. Step 6: Final answer
    x = 303.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.