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Finding the Fourth Proportional to 369.90, 510.30 and 253.26

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Solution

The fourth proportional to 369.90, 510.30 and 253.26 is: 349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.90 : 510.30 = 253.26 : x
  2. Step 2: Convert to fraction form
    369.90/510.30 = 253.26/x
  3. Step 3: Cross multiply
    369.90x = 510.30 × 253.26
  4. Step 4: Simplify right side
    369.90x = 129,238.58
  5. Step 5: Solve for x
    x = 129,238.58/369.90
  6. Step 6: Final answer
    x = 349.39

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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.