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Finding the Fourth Proportional to 284.14, 423.77 and 260.56

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Solution

The fourth proportional to 284.14, 423.77 and 260.56 is: 388.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.14 : 423.77 = 260.56 : x
  2. Step 2: Convert to fraction form
    284.14/423.77 = 260.56/x
  3. Step 3: Cross multiply
    284.14x = 423.77 × 260.56
  4. Step 4: Simplify right side
    284.14x = 110,417.51
  5. Step 5: Solve for x
    x = 110,417.51/284.14
  6. Step 6: Final answer
    x = 388.60

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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.