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Finding the Fourth Proportional to 364.05, 502.29 and 212.58

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Solution

The fourth proportional to 364.05, 502.29 and 212.58 is: 293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.05 : 502.29 = 212.58 : x
  2. Step 2: Convert to fraction form
    364.05/502.29 = 212.58/x
  3. Step 3: Cross multiply
    364.05x = 502.29 × 212.58
  4. Step 4: Simplify right side
    364.05x = 106,776.81
  5. Step 5: Solve for x
    x = 106,776.81/364.05
  6. Step 6: Final answer
    x = 293.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.