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Finding the Fourth Proportional to 350.53, 524.91 and 259.30

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Solution

The fourth proportional to 350.53, 524.91 and 259.30 is: 388.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.53 : 524.91 = 259.30 : x
  2. Step 2: Convert to fraction form
    350.53/524.91 = 259.30/x
  3. Step 3: Cross multiply
    350.53x = 524.91 × 259.30
  4. Step 4: Simplify right side
    350.53x = 136,109.16
  5. Step 5: Solve for x
    x = 136,109.16/350.53
  6. Step 6: Final answer
    x = 388.30

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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.