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Finding the Fourth Proportional to 323.99, 487.74 and 290.50

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Solution

The fourth proportional to 323.99, 487.74 and 290.50 is: 437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.99 : 487.74 = 290.50 : x
  2. Step 2: Convert to fraction form
    323.99/487.74 = 290.50/x
  3. Step 3: Cross multiply
    323.99x = 487.74 × 290.50
  4. Step 4: Simplify right side
    323.99x = 141,686.71
  5. Step 5: Solve for x
    x = 141,686.71/323.99
  6. Step 6: Final answer
    x = 437.32

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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.