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Finding the Fourth Proportional to 364.66, 502.95 and 290.68

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Solution

The fourth proportional to 364.66, 502.95 and 290.68 is: 400.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.66 : 502.95 = 290.68 : x
  2. Step 2: Convert to fraction form
    364.66/502.95 = 290.68/x
  3. Step 3: Cross multiply
    364.66x = 502.95 × 290.68
  4. Step 4: Simplify right side
    364.66x = 146,197.51
  5. Step 5: Solve for x
    x = 146,197.51/364.66
  6. Step 6: Final answer
    x = 400.91

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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.