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Finding the Fourth Proportional to 368.40, 498.30 and 368.40

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Solution

The fourth proportional to 368.40, 498.30 and 368.40 is: 498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.40 : 498.30 = 368.40 : x
  2. Step 2: Convert to fraction form
    368.40/498.30 = 368.40/x
  3. Step 3: Cross multiply
    368.40x = 498.30 × 368.40
  4. Step 4: Simplify right side
    368.40x = 183,573.72
  5. Step 5: Solve for x
    x = 183,573.72/368.40
  6. Step 6: Final answer
    x = 498.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.