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Finding the Fourth Proportional to 535.40, 802.76 and 188.56

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Solution

The fourth proportional to 535.40, 802.76 and 188.56 is: 282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.40 : 802.76 = 188.56 : x
  2. Step 2: Convert to fraction form
    535.40/802.76 = 188.56/x
  3. Step 3: Cross multiply
    535.40x = 802.76 × 188.56
  4. Step 4: Simplify right side
    535.40x = 151,368.43
  5. Step 5: Solve for x
    x = 151,368.43/535.40
  6. Step 6: Final answer
    x = 282.72

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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.