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Finding the Fourth Proportional to 368.81, 555.75 and 305.24

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Solution

The fourth proportional to 368.81, 555.75 and 305.24 is: 459.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.81 : 555.75 = 305.24 : x
  2. Step 2: Convert to fraction form
    368.81/555.75 = 305.24/x
  3. Step 3: Cross multiply
    368.81x = 555.75 × 305.24
  4. Step 4: Simplify right side
    368.81x = 169,635.86
  5. Step 5: Solve for x
    x = 169,635.86/368.81
  6. Step 6: Final answer
    x = 459.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.