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Finding the Fourth Proportional to 368.64, 554.88 and 312.96

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Solution

The fourth proportional to 368.64, 554.88 and 312.96 is: 471.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.64 : 554.88 = 312.96 : x
  2. Step 2: Convert to fraction form
    368.64/554.88 = 312.96/x
  3. Step 3: Cross multiply
    368.64x = 554.88 × 312.96
  4. Step 4: Simplify right side
    368.64x = 173,655.24
  5. Step 5: Solve for x
    x = 173,655.24/368.64
  6. Step 6: Final answer
    x = 471.07

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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.