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Finding the Fourth Proportional to 364.68, 502.81 and 305.89

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Solution

The fourth proportional to 364.68, 502.81 and 305.89 is: 421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.68 : 502.81 = 305.89 : x
  2. Step 2: Convert to fraction form
    364.68/502.81 = 305.89/x
  3. Step 3: Cross multiply
    364.68x = 502.81 × 305.89
  4. Step 4: Simplify right side
    364.68x = 153,802.53
  5. Step 5: Solve for x
    x = 153,802.53/364.68
  6. Step 6: Final answer
    x = 421.75

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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.