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Finding the Fourth Proportional to 288.08, 430.48 and 272.48

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Solution

The fourth proportional to 288.08, 430.48 and 272.48 is: 407.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.08 : 430.48 = 272.48 : x
  2. Step 2: Convert to fraction form
    288.08/430.48 = 272.48/x
  3. Step 3: Cross multiply
    288.08x = 430.48 × 272.48
  4. Step 4: Simplify right side
    288.08x = 117,297.19
  5. Step 5: Solve for x
    x = 117,297.19/288.08
  6. Step 6: Final answer
    x = 407.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.