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Finding the Fourth Proportional to 288.16, 430.15 and 266.74

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Solution

The fourth proportional to 288.16, 430.15 and 266.74 is: 398.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.16 : 430.15 = 266.74 : x
  2. Step 2: Convert to fraction form
    288.16/430.15 = 266.74/x
  3. Step 3: Cross multiply
    288.16x = 430.15 × 266.74
  4. Step 4: Simplify right side
    288.16x = 114,738.21
  5. Step 5: Solve for x
    x = 114,738.21/288.16
  6. Step 6: Final answer
    x = 398.18

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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.