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Finding the Fourth Proportional to 581.02, 802.16 and 382.16

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Solution

The fourth proportional to 581.02, 802.16 and 382.16 is: 527.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.02 : 802.16 = 382.16 : x
  2. Step 2: Convert to fraction form
    581.02/802.16 = 382.16/x
  3. Step 3: Cross multiply
    581.02x = 802.16 × 382.16
  4. Step 4: Simplify right side
    581.02x = 306,554.99
  5. Step 5: Solve for x
    x = 306,554.99/581.02
  6. Step 6: Final answer
    x = 527.62

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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.