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Finding the Fourth Proportional to 535.15, 802.57 and 242.49

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Solution

The fourth proportional to 535.15, 802.57 and 242.49 is: 363.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.15 : 802.57 = 242.49 : x
  2. Step 2: Convert to fraction form
    535.15/802.57 = 242.49/x
  3. Step 3: Cross multiply
    535.15x = 802.57 × 242.49
  4. Step 4: Simplify right side
    535.15x = 194,615.20
  5. Step 5: Solve for x
    x = 194,615.20/535.15
  6. Step 6: Final answer
    x = 363.66

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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.