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Finding the Fourth Proportional to 365.07, 503.49 and 356.16

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Solution

The fourth proportional to 365.07, 503.49 and 356.16 is: 491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.07 : 503.49 = 356.16 : x
  2. Step 2: Convert to fraction form
    365.07/503.49 = 356.16/x
  3. Step 3: Cross multiply
    365.07x = 503.49 × 356.16
  4. Step 4: Simplify right side
    365.07x = 179,323.00
  5. Step 5: Solve for x
    x = 179,323.00/365.07
  6. Step 6: Final answer
    x = 491.20

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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.