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Finding the Fourth Proportional to 284.24, 393.00 and 259.64

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Solution

The fourth proportional to 284.24, 393.00 and 259.64 is: 358.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.24 : 393.00 = 259.64 : x
  2. Step 2: Convert to fraction form
    284.24/393.00 = 259.64/x
  3. Step 3: Cross multiply
    284.24x = 393.00 × 259.64
  4. Step 4: Simplify right side
    284.24x = 102,038.52
  5. Step 5: Solve for x
    x = 102,038.52/284.24
  6. Step 6: Final answer
    x = 358.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.