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Finding the Fourth Proportional to 586.16, 809.28 and 365.20

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Solution

The fourth proportional to 586.16, 809.28 and 365.20 is: 504.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.16 : 809.28 = 365.20 : x
  2. Step 2: Convert to fraction form
    586.16/809.28 = 365.20/x
  3. Step 3: Cross multiply
    586.16x = 809.28 × 365.20
  4. Step 4: Simplify right side
    586.16x = 295,549.06
  5. Step 5: Solve for x
    x = 295,549.06/586.16
  6. Step 6: Final answer
    x = 504.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.