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Finding the Fourth Proportional to 365.10, 503.77 and 215.74

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Solution

The fourth proportional to 365.10, 503.77 and 215.74 is: 297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.10 : 503.77 = 215.74 : x
  2. Step 2: Convert to fraction form
    365.10/503.77 = 215.74/x
  3. Step 3: Cross multiply
    365.10x = 503.77 × 215.74
  4. Step 4: Simplify right side
    365.10x = 108,683.34
  5. Step 5: Solve for x
    x = 108,683.34/365.10
  6. Step 6: Final answer
    x = 297.68

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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.