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Finding the Fourth Proportional to 368.47, 549.68 and 360.10

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Solution

The fourth proportional to 368.47, 549.68 and 360.10 is: 537.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.47 : 549.68 = 360.10 : x
  2. Step 2: Convert to fraction form
    368.47/549.68 = 360.10/x
  3. Step 3: Cross multiply
    368.47x = 549.68 × 360.10
  4. Step 4: Simplify right side
    368.47x = 197,939.77
  5. Step 5: Solve for x
    x = 197,939.77/368.47
  6. Step 6: Final answer
    x = 537.19

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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.