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Finding the Fourth Proportional to 431.16, 593.64 and 365.52

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Solution

The fourth proportional to 431.16, 593.64 and 365.52 is: 503.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.16 : 593.64 = 365.52 : x
  2. Step 2: Convert to fraction form
    431.16/593.64 = 365.52/x
  3. Step 3: Cross multiply
    431.16x = 593.64 × 365.52
  4. Step 4: Simplify right side
    431.16x = 216,987.29
  5. Step 5: Solve for x
    x = 216,987.29/431.16
  6. Step 6: Final answer
    x = 503.26

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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.