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Finding the Fourth Proportional to 365.28, 503.28 and 302.90

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Solution

The fourth proportional to 365.28, 503.28 and 302.90 is: 417.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.28 : 503.28 = 302.90 : x
  2. Step 2: Convert to fraction form
    365.28/503.28 = 302.90/x
  3. Step 3: Cross multiply
    365.28x = 503.28 × 302.90
  4. Step 4: Simplify right side
    365.28x = 152,443.51
  5. Step 5: Solve for x
    x = 152,443.51/365.28
  6. Step 6: Final answer
    x = 417.33

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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.