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Finding the Fourth Proportional to 581.13, 802.08 and 360.23

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Solution

The fourth proportional to 581.13, 802.08 and 360.23 is: 497.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.13 : 802.08 = 360.23 : x
  2. Step 2: Convert to fraction form
    581.13/802.08 = 360.23/x
  3. Step 3: Cross multiply
    581.13x = 802.08 × 360.23
  4. Step 4: Simplify right side
    581.13x = 288,929.27
  5. Step 5: Solve for x
    x = 288,929.27/581.13
  6. Step 6: Final answer
    x = 497.19

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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.