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Finding the Fourth Proportional to 365.04, 549.72 and 317.52

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Solution

The fourth proportional to 365.04, 549.72 and 317.52 is: 478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.04 : 549.72 = 317.52 : x
  2. Step 2: Convert to fraction form
    365.04/549.72 = 317.52/x
  3. Step 3: Cross multiply
    365.04x = 549.72 × 317.52
  4. Step 4: Simplify right side
    365.04x = 174,547.09
  5. Step 5: Solve for x
    x = 174,547.09/365.04
  6. Step 6: Final answer
    x = 478.16

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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.