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Finding the Fourth Proportional to 288.64, 430.72 and 284.16

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Solution

The fourth proportional to 288.64, 430.72 and 284.16 is: 424.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.64 : 430.72 = 284.16 : x
  2. Step 2: Convert to fraction form
    288.64/430.72 = 284.16/x
  3. Step 3: Cross multiply
    288.64x = 430.72 × 284.16
  4. Step 4: Simplify right side
    288.64x = 122,393.40
  5. Step 5: Solve for x
    x = 122,393.40/288.64
  6. Step 6: Final answer
    x = 424.03

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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.