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Finding the Fourth Proportional to 403.60, 555.60 and 362.14

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Solution

The fourth proportional to 403.60, 555.60 and 362.14 is: 498.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.60 : 555.60 = 362.14 : x
  2. Step 2: Convert to fraction form
    403.60/555.60 = 362.14/x
  3. Step 3: Cross multiply
    403.60x = 555.60 × 362.14
  4. Step 4: Simplify right side
    403.60x = 201,204.98
  5. Step 5: Solve for x
    x = 201,204.98/403.60
  6. Step 6: Final answer
    x = 498.53

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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.