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Finding the Fourth Proportional to 365.24, 506.40 and 345.80

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Solution

The fourth proportional to 365.24, 506.40 and 345.80 is: 479.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.24 : 506.40 = 345.80 : x
  2. Step 2: Convert to fraction form
    365.24/506.40 = 345.80/x
  3. Step 3: Cross multiply
    365.24x = 506.40 × 345.80
  4. Step 4: Simplify right side
    365.24x = 175,113.12
  5. Step 5: Solve for x
    x = 175,113.12/365.24
  6. Step 6: Final answer
    x = 479.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.