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Finding the Fourth Proportional to 536.01, 802.30 and 288.87

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Solution

The fourth proportional to 536.01, 802.30 and 288.87 is: 432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.01 : 802.30 = 288.87 : x
  2. Step 2: Convert to fraction form
    536.01/802.30 = 288.87/x
  3. Step 3: Cross multiply
    536.01x = 802.30 × 288.87
  4. Step 4: Simplify right side
    536.01x = 231,760.40
  5. Step 5: Solve for x
    x = 231,760.40/536.01
  6. Step 6: Final answer
    x = 432.38

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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.