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Finding the Fourth Proportional to 364.23, 542.67 and 356.03

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Solution

The fourth proportional to 364.23, 542.67 and 356.03 is: 530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.23 : 542.67 = 356.03 : x
  2. Step 2: Convert to fraction form
    364.23/542.67 = 356.03/x
  3. Step 3: Cross multiply
    364.23x = 542.67 × 356.03
  4. Step 4: Simplify right side
    364.23x = 193,204.79
  5. Step 5: Solve for x
    x = 193,204.79/364.23
  6. Step 6: Final answer
    x = 530.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.