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Finding the Fourth Proportional to 535.36, 802.32 and 364

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Solution

The fourth proportional to 535.36, 802.32 and 364 is: 545.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.36 : 802.32 = 364 : x
  2. Step 2: Convert to fraction form
    535.36/802.32 = 364/x
  3. Step 3: Cross multiply
    535.36x = 802.32 × 364
  4. Step 4: Simplify right side
    535.36x = 292,044.48
  5. Step 5: Solve for x
    x = 292,044.48/535.36
  6. Step 6: Final answer
    x = 545.51

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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.