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Finding the Fourth Proportional to 369.60, 510.23 and 251.64

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Solution

The fourth proportional to 369.60, 510.23 and 251.64 is: 347.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.60 : 510.23 = 251.64 : x
  2. Step 2: Convert to fraction form
    369.60/510.23 = 251.64/x
  3. Step 3: Cross multiply
    369.60x = 510.23 × 251.64
  4. Step 4: Simplify right side
    369.60x = 128,393.02
  5. Step 5: Solve for x
    x = 128,393.02/369.60
  6. Step 6: Final answer
    x = 347.38

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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.