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Finding the Fourth Proportional to 403.02, 555.58 and 284.63

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Solution

The fourth proportional to 403.02, 555.58 and 284.63 is: 392.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.02 : 555.58 = 284.63 : x
  2. Step 2: Convert to fraction form
    403.02/555.58 = 284.63/x
  3. Step 3: Cross multiply
    403.02x = 555.58 × 284.63
  4. Step 4: Simplify right side
    403.02x = 158,134.06
  5. Step 5: Solve for x
    x = 158,134.06/403.02
  6. Step 6: Final answer
    x = 392.37

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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.