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Finding the Fourth Proportional to 509, 702.58 and 301.96

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Solution

The fourth proportional to 509, 702.58 and 301.96 is: 416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    509 : 702.58 = 301.96 : x
  2. Step 2: Convert to fraction form
    509/702.58 = 301.96/x
  3. Step 3: Cross multiply
    509x = 702.58 × 301.96
  4. Step 4: Simplify right side
    509x = 212,151.06
  5. Step 5: Solve for x
    x = 212,151.06/509
  6. Step 6: Final answer
    x = 416.80

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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.