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Finding the Fourth Proportional to 425.16, 585.36 and 369.72

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Solution

The fourth proportional to 425.16, 585.36 and 369.72 is: 509.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.16 : 585.36 = 369.72 : x
  2. Step 2: Convert to fraction form
    425.16/585.36 = 369.72/x
  3. Step 3: Cross multiply
    425.16x = 585.36 × 369.72
  4. Step 4: Simplify right side
    425.16x = 216,419.30
  5. Step 5: Solve for x
    x = 216,419.30/425.16
  6. Step 6: Final answer
    x = 509.03

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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.