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Finding the Fourth Proportional to 581.24, 802.21 and 348.40

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Solution

The fourth proportional to 581.24, 802.21 and 348.40 is: 480.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.24 : 802.21 = 348.40 : x
  2. Step 2: Convert to fraction form
    581.24/802.21 = 348.40/x
  3. Step 3: Cross multiply
    581.24x = 802.21 × 348.40
  4. Step 4: Simplify right side
    581.24x = 279,485.08
  5. Step 5: Solve for x
    x = 279,485.08/581.24
  6. Step 6: Final answer
    x = 480.85

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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.