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Finding the Fourth Proportional to 581.01, 802.05 and 360.18

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Solution

The fourth proportional to 581.01, 802.05 and 360.18 is: 497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.01 : 802.05 = 360.18 : x
  2. Step 2: Convert to fraction form
    581.01/802.05 = 360.18/x
  3. Step 3: Cross multiply
    581.01x = 802.05 × 360.18
  4. Step 4: Simplify right side
    581.01x = 288,882.37
  5. Step 5: Solve for x
    x = 288,882.37/581.01
  6. Step 6: Final answer
    x = 497.21

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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.