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Finding the Fourth Proportional to 506.66, 760.14 and 290.40

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Solution

The fourth proportional to 506.66, 760.14 and 290.40 is: 435.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.66 : 760.14 = 290.40 : x
  2. Step 2: Convert to fraction form
    506.66/760.14 = 290.40/x
  3. Step 3: Cross multiply
    506.66x = 760.14 × 290.40
  4. Step 4: Simplify right side
    506.66x = 220,744.66
  5. Step 5: Solve for x
    x = 220,744.66/506.66
  6. Step 6: Final answer
    x = 435.69

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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.