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Finding the Fourth Proportional to 365.70, 503.98 and 295.64

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Solution

The fourth proportional to 365.70, 503.98 and 295.64 is: 407.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.70 : 503.98 = 295.64 : x
  2. Step 2: Convert to fraction form
    365.70/503.98 = 295.64/x
  3. Step 3: Cross multiply
    365.70x = 503.98 × 295.64
  4. Step 4: Simplify right side
    365.70x = 148,996.65
  5. Step 5: Solve for x
    x = 148,996.65/365.70
  6. Step 6: Final answer
    x = 407.43

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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.