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Finding the Fourth Proportional to 802.26, 1,203.30 and 340.11

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Solution

The fourth proportional to 802.26, 1,203.30 and 340.11 is: 510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.26 : 1,203.30 = 340.11 : x
  2. Step 2: Convert to fraction form
    802.26/1,203.30 = 340.11/x
  3. Step 3: Cross multiply
    802.26x = 1,203.30 × 340.11
  4. Step 4: Simplify right side
    802.26x = 409,254.36
  5. Step 5: Solve for x
    x = 409,254.36/802.26
  6. Step 6: Final answer
    x = 510.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.