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Finding the Fourth Proportional to 506.79, 759.40 and 214.02

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Solution

The fourth proportional to 506.79, 759.40 and 214.02 is: 320.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.79 : 759.40 = 214.02 : x
  2. Step 2: Convert to fraction form
    506.79/759.40 = 214.02/x
  3. Step 3: Cross multiply
    506.79x = 759.40 × 214.02
  4. Step 4: Simplify right side
    506.79x = 162,526.25
  5. Step 5: Solve for x
    x = 162,526.25/506.79
  6. Step 6: Final answer
    x = 320.70

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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.