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Finding the Fourth Proportional to 369.64, 510.21 and 259.14

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Solution

The fourth proportional to 369.64, 510.21 and 259.14 is: 357.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.64 : 510.21 = 259.14 : x
  2. Step 2: Convert to fraction form
    369.64/510.21 = 259.14/x
  3. Step 3: Cross multiply
    369.64x = 510.21 × 259.14
  4. Step 4: Simplify right side
    369.64x = 132,214.85
  5. Step 5: Solve for x
    x = 132,214.85/369.64
  6. Step 6: Final answer
    x = 357.69

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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.